Question

The order and degree of the differential equation $\left[1 + \left(\frac{dy}{dx}\right)^2\right]^{3/2} = \frac{d^2y}{dx^2}$ are respectively:

• A. $2$ and $2$
• B. $2$ and $3$
• C. $1$ and $2$
• D. $2$ and $1$

Hint:

Always clear fractional indices first! The degree of a differential equation can only be defined when it is written as a polynomial in its derivatives.

Answer 1

The Correct Option is A